I am a new user to this site, but am an experienced sudoku player ( or so I thought !!)

Re today's puzzle. I got stuck and when I asked for a hint from this site, they gave me a 3 in row 3 column 3 of the middle square in the bottom row of the sudoku. I had my options as either a 2 or a 3 for this square, but can't see how the 2 was eliminated!!

Exclude Nr=1 from (9 9) becasue Nr has to be in (8 7) or (8 9)
Excluded Nr=3 from (4 2) because it is in (1 2) and (3 2)
Excluded Nr=3 from (9 2) because it is in (1 2) and (3 2)
Excluded Nr=3 from (5 4) because it is in (5 1) and (5 3)
Excluded Nr=3 from (5 6) because it is in (5 1) and (5 3)
Exclude Nr=1 from (4 5) because of numbers= 7 8
Exclude Nr=1 from (4 5) because of numbers= 7 8
Exclude Nr=2 from (4 5) because of numbers= 7 8
Exclude Nr=2 from (4 5) because of numbers= 7 8
Exclude Nr=3 from (4 5) because of numbers= 7 8
Exclude Nr=4 from (4 5) because of numbers= 7 8
Exclude Nr=4 from (4 5) because of numbers= 7 8
Exclude Nr=6 from (4 5) because of numbers= 7 8
Exclude Nr=6 from (4 5) because of numbers= 7 8

I can't follow the logic of eliminating the Number 3 as you have shown. Are there some hidden pairs or triples that I'm missing?? I have the Number 3 appearing at ( 1 2 ) ( 3 2 ) ( 4 2 ) and ( 9 2 ). So how are you eliminating it as shown?

The Number 3 can be excluded from ( 4 2 ) and ( 9 2 ) because it is already in ( 1 2 ) and ( 3 2 ). Nr 3 MUST be in either ( 1 2 ) or ( 3 2 ) because they are the only cells in the first square that support the Number 3. Therefore NR 3 can not appear anywhere else in Column 2.

Similar logic can be applied to the exclusion of Nr 3 from ( 5 4 ) and ( 5 6 ) because Nr 3 MUST be in either ( 5 1 ) or ( 5 3 ) and therefore can
not appear anywhere else in Row 5.